9514 1404 393
Answer:
$737,289
Step-by-step explanation:
The future value of an investment P invested at rate r per year compounded monthly for t years is ...
FV = P(1 +r/12)^(12·t)
We want to find P for the given future value, so we can solve for that:
P = FV/(1 +r/12)^(12·t) = FV(1 +r/12)^(-12·t)
P = $2,000,000(1 +.05/12)^(-240) = $737,289
Mr. Halpayne needs a present value of $737,289 to support his retirement.
Answer: √5
2.7 is a rational number because it's a terminating decimal which means that the decimal does end and all terminating decimals are rational numbers.
-3 is a rational number because it's an
integer and all integers are rational.
√4 is rational because it's a perfect square which means that a number can be multiplied by itself to get 4 and that number is 2.
√5 is no rational! It's impossible to find a whole number multiplied by itself to give us 5 which means that it's
non-terminating and non-repeating.
Answer:
x = 12
Step-by-step explanation:
x - (-2) = 10 | Given
x - 2 = 10 | Distribute (whenever there is a minus on the outside of a parenthesis imagine a -1 on the outside, and flip the signs of everything on the inside)
x = 12 | Add 2 to both sides.
Answer:
9/25
Step-by-step explanation:
Our box contains 10 socks. (6, which are black and 4 which are red)
Probability of picking 1 black sock will be 6/10
Number of ways it can occur / Total number of outcomes.
In this question we pick two socks, one black firstly and another black, in the second turn. When we say AND, it means intersection
P (B₁ ∩ B₂) = 6/10 . 6/10
When the events are independent, the probability of the intersection will be the product of the probabilities,
P (B₁ ∩ B₂) = 36/100 = 9/25
You pay attention in class